8968587457600 has 63 divisors (see below), whose sum is σ = 22068625276047. Its totient is φ = 3587387066880.

The previous prime is 8968587457597. The next prime is 8968587457657. The reversal of 8968587457600 is 67547858698.

The square root of 8968587457600 is 2994760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1286554821696 + 7682032635904 = 1134264^2 + 2771648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119752966 + ... + 119827834.

Almost surely, 2^{8968587457600} is an apocalyptic number.

8968587457600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8968587457600 is the 2994760-th square number.

It is an amenable number.

8968587457600 is an abundant number, since it is smaller than the sum of its proper divisors (13100037818447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8968587457600 is an frugal number, since it uses more digits than its factorization.

8968587457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149760 (or 74876 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 73.

The spelling of 8968587457600 in words is "eight trillion, nine hundred sixty-eight billion, five hundred eighty-seven million, four hundred fifty-seven thousand, six hundred".